The spell Liquefy states that:
Items with hit point damage or the broken condition regain 5 hit points/caster level
It also states earlier:
If the item has magical or alchemical properties, they become inert for the duration of the spell.
I inferred from these two lines that the spell can be used to repair hit point damage on a magical item. However, the Broken condition says:
If the item is magical, it can only be repaired with a mending or make whole spell cast by a character with a caster level equal to or higher than the item's.
These two pages do not completely agree with each other: one specifies a caster level requirement (and lists two specific spells) while the other does not. This leads me to three possible conclusions:
- Liquefy is more specific than the Broken condition, and it ignores the caster level requirement imposed on Mending and Make Whole
- Liquefy obeys the same caster level requirement as the two other spells
- Liquefy cannot be used to repair broken magic items, because it is not listed in the Broken description
I think the third option is unlikely to be the answer, but it is still a possibility so I included it.